A variational approach to Schroedinger equation with parity-time symmetry Gaussian complex potential

TL;DR

This paper introduces a variational method to analyze the Schrödinger equation with PT-symmetric Gaussian complex potentials, effectively capturing properties like power flow and PT-breaking points, aligning well with numerical simulations.

Contribution

The paper develops a novel variational approach for PT-symmetric Schrödinger equations applicable to linear and nonlinear cases, providing analytical insights into PT system behaviors.

Findings

Analytical results agree with numerical simulations

Method reveals properties like power flow in PT systems

Identifies PT-breaking points in complex potentials

Abstract

A variational technique is established to deal with the Schrodinger equation with parity-time(PT) symmetric Gaussian complex potential. The method is extended to the linear and self-focusing and defocusing nonlinear cases. Some unusual properties in PT systems such as transverse power flow and PT breaking points can be analyzed by this method. Following numerical simulations, the analytical results are in good agreement with the numerical results.